Title
Repairing Non-monotonic Knowledge Bases.
Abstract
Minimal inconsistent subsets of knowledge bases in monotonic logics play an important role when investigating the reasons for conflicts and trying to handle them. In the context of non-monotonic reasoning this notion is not as meaningful due to the possibility of resolving conflicts by adding information. In this paper we investigate inconsistency in non-monotonic logics while taking this issue into account. In particular, we show that the well-known classical duality between hitting sets of minimal inconsistent subsets and maximal consistent subsets generalizes to arbitrary logics even if we allow adding novel information to a given knowledge base. We illustrate the versatility of the main theorems by covering more sophisticated situations and demonstrate how to utilize our results to analyze inconsistency in abstract argumentation.
Year
DOI
Venue
2019
10.1007/978-3-030-19570-0_10
Lecture Notes in Artificial Intelligence
Keywords
Field
DocType
Non-monotonic reasoning,Inconsistency,Abstract argumentation
Monotonic function,Computer science,Argumentation theory,Theoretical computer science,Duality (optimization),Knowledge base
Conference
Volume
ISSN
Citations 
11468
0302-9743
0
PageRank 
References 
Authors
0.34
0
1
Name
Order
Citations
PageRank
Markus Ulbricht117.10